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Finding the Fourth Proportional to 643.93, 966.32 and 233.07

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Solution

The fourth proportional to 643.93, 966.32 and 233.07 is: 349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.93 : 966.32 = 233.07 : x
  2. Step 2: Convert to fraction form
    643.93/966.32 = 233.07/x
  3. Step 3: Cross multiply
    643.93x = 966.32 × 233.07
  4. Step 4: Simplify right side
    643.93x = 225,220.20
  5. Step 5: Solve for x
    x = 225,220.20/643.93
  6. Step 6: Final answer
    x = 349.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.